The scientific discipline of fluid dynamics is primarily concerned with the measurement, modelling and underlying physics and mathematics of how liquids and gases behave. Almost all natural and manufactured systems involve the flow of fluids, which are often complex. Consequently, an understanding of fluid dynamics is integral to addressing major societal challenges including industrial competitiveness, environmental resilience, the transition to net-zero and improvements to health and healthcare. Fluid dynamics is essential to the transition of the energy sector to a low-carbon future (for example, fluid dynamics simulations coupled with control algorithms can significantly increase wind farm efficiency). It is vital to our understanding and mitigation of climate change, including extreme weather events (for example in designing flood mitigation schemes). It is key to the digitisation of manufacturing through 3d printing/additive manufacturing and development of new greener processing technologies. In healthcare, computational fluid dynamics in combination with MRI scanning provides individualised modelling of the cardio-vascular system enabling implants such as stents to be designed and tested on computers. Fluid dynamics also shows how to design urban environments and ventilate buildings to prevent the build-up of pollutants and the transmission of pathogens. The UK has long been a world-leader in fluid dynamics research. However, the field is now advancing rapidly in response to the demand to address more complex and interwoven problems on ever-faster timescales. Data-driven fluid dynamics is a major area where there are rapid advances, with the increasing application of data-science and machine learning techniques to fluid flow data, as well as the use of Artificial Intelligence to accelerate computational simulations. For the UK to maintain its competitive position requires an investment in training the next generation of research leaders who have experience of developing and applying these new techniques and approaches to fluids problems, along with professional and problem-solving skills to lead the successful adoption of these approaches in industry and research. The University of Leeds is distinctive through the breadth, depth and unified structure of its fluid dynamics research, coordinated through the Leeds Institute for Fluid Dynamics (LIFD), making it an ideal host for this CDT. The CDT in Future Fluid Dynamics (FFD-CDT) will build on the experience of successfully running a CDT in Fluid Dynamics to address these new and exciting needs. Our students will carry out cutting-edge research developing new fluid dynamics approaches and applying them across a diverse range of engineering, physics, computing, environmental and physiological challenges. We will recruit and train cohorts of students with diverse backgrounds, covering engineering, mathematical, physical and environmental sciences, in both the fundamental principles of fluid dynamics and new data-driven methodologies. Alongside this technical training we will provide a team-based, problem-led programme of professional skills training co-developed with industry to equip our graduates with the leadership, team-working and entrepreneurial skills that they need to succeed in their future careers. We will build an inclusive, diverse and welcoming community that supports cross-disciplinary science and effective and productive collaborations and partnerships. Our CDT cohort will be at the heart of growing this capability, integrated with and within the Leeds Institute for Fluid Dynamics to deliver a dynamic and vibrant training and research environment with strong UK and international partnerships in academia, industry, policy and outreach.

Understanding and characterising the behaviour of fluids is fundamental to numerous industrial and environmental challenges with wide-ranging societal impact. The CDT in Fluid Dynamics at Leeds will provide the next generation of highly trained graduates with the technical and professional skills and knowledge needed to tackle such problems. Fluid processes are critical to both economic productivity and the health and environmental systems that affect our daily lives. For example, at the microscale, the flow of liquid through the nozzle of an ink-jet printer controls the quality of the printed product, whilst the flow of a coolant around a microprocessor determines whether or not the components will overheat. At the large scale, the atmospheric conditions of the Earth depend upon the flow of gases in the atmosphere and their interaction with the land and oceans. Understanding these processes allows short term weather forecasting and long term climate prediction; both are crucial for industry, government and society to plan and adapt their environments. Fluid flows, and their interactions with structures, are also important to the performance of an array of processes and products that we take for granted in our everyday lives: gas and water flow to our homes, generation of electricity, fuel efficiency of vehicles, the comfort of our workplaces, the diagnosis and treatment of diseases, and the manufacture of most of the goods that we buy. Understanding, predicting and controlling Fluid Dynamics is key to reducing costs, increasing performance and enhancing the reliability of all of these processes and products. Our CDT draws on the substantial breadth and depth of our Fluid Dynamics research expertise at the University of Leeds. We will deliver an integrated MSc/PhD programme in collaboration with external partners spanning multiple sectors, including energy, transport, environment, manufacturing, consultancy, defence, computing and healthcare, who highlight their need for skilled Fluid Dynamicists. Through a combination of taught courses, team projects, professional skills training, external engagement and an in-depth PhD research project we will develop broad and deep technical expertise plus the team-working and problem-solving skills to tackle challenges in a trans-disciplinary manner. We will recruit and mentor a diverse cohort from a range of science and engineering backgrounds and provide a vibrant and cohesive training environment to facilitate peer-to-peer support. We will build strengths in mathematical modelling, computational simulation and experimental measurement, and through multi-disciplinary projects co-supervised by academics from different Schools, we will enable students to undertake a PhD project that both strengthens and moves them beyond their UG discipline. Our students will be outward facing with opportunities to undertake placements with industry partners or research organisations overseas, to participate in summer schools and study challenges and to lead outreach activities, becoming ambassadors for Fluid Dynamics. Industry and external engagement will be at the heart of the CDT: all MSc team projects will be challenges set and mentored by industry (with placements embedded); each student will have the opportunity for user engagement in their PhD project (from sponsorship, external supervision and access to facilities, to mentoring); and our partners will be actively involved in overseeing our strategic direction, management and professional training. Many components will be provided by or with our partners, including research software engineering, responsible innovation, commercial awareness and leadership.